You will need to make sure all your inserts are running in the same session.
to fix your job add a tOracleConnection component as the first component in the flow. in all your DB output components, check the "use existing connection" and pick the tOracleConnection component as the source. Then add a tOracleCommit component as a final component in your job.
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Part 2 of a series on Context Variables
Learn how to do cool things with Context Variables
Find out how to migrate from one database to another using the Dynamic schema